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Finding the Fourth Proportional to 15,756.76, 23,611.32 and 9,509.82

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Solution

The fourth proportional to 15,756.76, 23,611.32 and 9,509.82 is: 14,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.76 : 23,611.32 = 9,509.82 : x
  2. Step 2: Convert to fraction form
    15,756.76/23,611.32 = 9,509.82/x
  3. Step 3: Cross multiply
    15,756.76x = 23,611.32 × 9,509.82
  4. Step 4: Simplify right side
    15,756.76x = 224,539,403.16
  5. Step 5: Solve for x
    x = 224,539,403.16/15,756.76
  6. Step 6: Final answer
    x = 14,250.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.